Cremona's table of elliptic curves

25872 = 2⁴ · 3 · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
25872a (1 curve)	1	2+ 3+ 7+ 11+	2+ 3+ -1 7+ 11+ -6 -3  6
Curve Equation t Generators 25872a1 [0,-1,0,-16,-608] 1 [12:28:1]
25872b (1 curve)	0	2+ 3+ 7+ 11-	2+ 3+ -4 7+ 11- -5 -6  7
Curve Equation t 25872b1 [0,-1,0,-5945,-183819] 1
25872c (1 curve)	0	2+ 3+ 7- 11+	2+ 3+ -1 7- 11+  1  4 -1
Curve Equation t 25872c1 [0,-1,0,264,99] 1
25872d (4 curves)	2	2+ 3+ 7- 11+	2+ 3+ -2 7- 11+ -2 -6  0
Curve Equation t Generators 25872d1 [0,-1,0,-604,-5312] 2 [-12:8:1]&[48:272:1] 25872d2 [0,-1,0,-1584,17424] 4 [-42:90:1]&[-16:196:1] 25872d3 [0,-1,0,4296,111504] 2 [-16:196:1]&[26:490:1] 25872d4 [0,-1,0,-23144,1362768] 2 [82:98:1]&[-23:1372:1]
25872e (2 curves)	2	2+ 3+ 7- 11+	2+ 3+ -2 7- 11+ -4  2  2
Curve Equation t Generators 25872e1 [0,-1,0,-184,1408] 2 [-8:48:1]&[6:-22:1] 25872e2 [0,-1,0,-3264,72864] 2 [-30:378:1]&[5:238:1]
25872f (4 curves)	0	2+ 3+ 7- 11+	2+ 3+ -2 7- 11+  6  2 -8
Curve Equation t 25872f1 [0,-1,0,-28761644,-59360635872] 2 25872f2 [0,-1,0,-28762624,-59356387376] 4 25872f3 [0,-1,0,-26169544,-70496259056] 2 25872f4 [0,-1,0,-31371384,-47944627632] 2
25872g (1 curve)	0	2+ 3+ 7- 11+	2+ 3+  3 7- 11+  1  2  7
Curve Equation t 25872g1 [0,-1,0,-604,6007] 1
25872h (1 curve)	0	2+ 3+ 7- 11+	2+ 3+  3 7- 11+  1 -8  7
Curve Equation t 25872h1 [0,-1,0,-8166944,-8980611093] 1
25872i (2 curves)	1	2+ 3+ 7- 11-	2+ 3+  0 7- 11- -2  8 -6
Curve Equation t Generators 25872i1 [0,-1,0,-408,-46080] 2 [54:294:1] 25872i2 [0,-1,0,-21968,-1236192] 2 [-86:98:1]
25872j (1 curve)	1	2+ 3+ 7- 11-	2+ 3+  1 7- 11-  3 -4  1
Curve Equation t Generators 25872j1 [0,-1,0,-11580,-476937] 1 [1223:42581:1]
25872k (1 curve)	1	2+ 3+ 7- 11-	2+ 3+  3 7- 11- -5  4  1
Curve Equation t Generators 25872k1 [0,-1,0,-44,267] 1 [19:77:1]
25872l (2 curves)	1	2+ 3- 7- 11+	2+ 3-  0 7- 11+  0  2  8
Curve Equation t Generators 25872l1 [0,1,0,-408,804] 2 [38:204:1] 25872l2 [0,1,0,1552,7860] 2 [6:132:1]
25872m (1 curve)	1	2+ 3- 7- 11+	2+ 3-  1 7- 11+ -1 -4  1
Curve Equation t Generators 25872m1 [0,1,0,12920,-59809] 1 [65:1029:1]
25872n (1 curve)	1	2+ 3- 7- 11+	2+ 3-  1 7- 11+ -1  6 -7
Curve Equation t Generators 25872n1 [0,1,0,2140,-294813] 1 [121:1323:1]
25872o (1 curve)	1	2+ 3- 7- 11+	2+ 3-  1 7- 11+  6  3 -6
Curve Equation t Generators 25872o1 [0,1,0,-800,210132] 1 [-18:468:1]
25872p (2 curves)	1	2+ 3- 7- 11+	2+ 3-  2 7- 11+  4 -2 -2
Curve Equation t Generators 25872p1 [0,1,0,-9032,-464892] 2 [312:5214:1] 25872p2 [0,1,0,-159952,-24672460] 2 [12540:32390:27]
25872q (4 curves)	1	2+ 3- 7- 11+	2+ 3- -2 7- 11+ -6 -6  0
Curve Equation t Generators 25872q1 [0,1,0,1356,-760068] 2 [207:2904:1] 25872q2 [0,1,0,-117224,-15131964] 4 [-200:594:1] 25872q3 [0,1,0,-268144,31653236] 4 [-565:1764:1] 25872q4 [0,1,0,-1863584,-979821228] 2 [-788:6:1]
25872r (1 curve)	1	2+ 3- 7- 11+	2+ 3-  3 7- 11+  3 -4 -7
Curve Equation t Generators 25872r1 [0,1,0,-604,189503] 1 [-19:441:1]
25872s (1 curve)	1	2+ 3- 7- 11+	2+ 3- -3 7- 11+ -1  8 -7
Curve Equation t Generators 25872s1 [0,1,0,-166672,26134919] 1 [233:63:1]
25872t (1 curve)	0	2+ 3- 7- 11-	2+ 3-  1 7- 11-  5  6 -1
Curve Equation t 25872t1 [0,1,0,-2760,156771] 1
25872u (1 curve)	0	2+ 3- 7- 11-	2+ 3- -1 7- 11- -3  0  7
Curve Equation t 25872u1 [0,1,0,-81356,9223731] 1
25872v (1 curve)	0	2+ 3- 7- 11-	2+ 3- -1 7- 11-  5  4 -5
Curve Equation t 25872v1 [0,1,0,-16,-1009] 1
25872w (6 curves)	0	2+ 3- 7- 11-	2+ 3-  2 7- 11-  2 -2  4
Curve Equation t 25872w1 [0,1,0,-101887,12483848] 2 25872w2 [0,1,0,-102132,12420540] 4 25872w3 [0,1,0,-26672,30440388] 2 25872w4 [0,1,0,-181512,-9647100] 4 25872w5 [0,1,0,682848,-74301228] 2 25872w6 [0,1,0,-2315952,-1356051852] 2
25872x (4 curves)	0	2+ 3- 7- 11-	2+ 3-  2 7- 11- -6 -6 -8
Curve Equation t 25872x1 [0,1,0,33,1980] 2 25872x2 [0,1,0,-2172,37260] 4 25872x3 [0,1,0,-5112,-88572] 2 25872x4 [0,1,0,-34512,2456292] 2
25872y (1 curve)	0	2+ 3- 7- 11-	2+ 3- -3 7- 11-  5 -4 -1
Curve Equation t 25872y1 [0,1,0,-2172,-87249] 1
25872z (2 curves)	0	2+ 3- 7- 11-	2+ 3-  4 7- 11-  2  0  2
Curve Equation t 25872z1 [0,1,0,-164656,-30738268] 2 25872z2 [0,1,0,-2773416,-1778607468] 2
25872ba (1 curve)	0	2+ 3- 7- 11-	2+ 3-  4 7- 11-  5  6 -7
Curve Equation t 25872ba1 [0,1,0,-291321,63632547] 1
25872bb (2 curves)	0	2+ 3- 7- 11-	2+ 3- -4 7- 11-  0  6  4
Curve Equation t 25872bb1 [0,1,0,-392800,-94886716] 2 25872bb2 [0,1,0,-390840,-95878476] 2
25872bc (2 curves)	0	2- 3+ 7+ 11+	2- 3+  0 7+ 11+ -4  3  1
Curve Equation t 25872bc1 [0,-1,0,-47448,6889968] 1 25872bc2 [0,-1,0,-4575048,3768057840] 1
25872bd (1 curve)	1	2- 3+ 7+ 11-	2- 3+  0 7+ 11-  3 -2  3
Curve Equation t Generators 25872bd1 [0,-1,0,-4573,125665] 1 [33:-98:1]
25872be (1 curve)	1	2- 3+ 7+ 11-	2- 3+  3 7+ 11-  6 -5 -6
Curve Equation t Generators 25872be1 [0,-1,0,-3817704,-2975201424] 1 [4100:224224:1]
25872bf (2 curves)	1	2- 3+ 7+ 11-	2- 3+ -3 7+ 11-  2  3 -2
Curve Equation t Generators 25872bf1 [0,-1,0,-9032,-485904] 1 [196:2288:1] 25872bf2 [0,-1,0,73288,7285104] 1 [-68:1408:1]
25872bg (2 curves)	1	2- 3+ 7- 11+	2- 3+  0 7- 11+  4 -4  0
Curve Equation t Generators 25872bg1 [0,-1,0,-3532328,2579093616] 2 [1028:5760:1] 25872bg2 [0,-1,0,-56656168,164160565360] 2 [-4230:572810:1]
25872bh (1 curve)	1	2- 3+ 7- 11+	2- 3+  1 7- 11+  1 -6  1
Curve Equation t Generators 25872bh1 [0,-1,0,670,363903] 1 [-51:441:1]
25872bi (1 curve)	1	2- 3+ 7- 11+	2- 3+  1 7- 11+ -7  0  5
Curve Equation t Generators 25872bi1 [0,-1,0,-30,99] 1 [5:7:1]
25872bj (1 curve)	1	2- 3+ 7- 11+	2- 3+ -1 7- 11+  1  0  5
Curve Equation t Generators 25872bj1 [0,-1,0,-23046,-1524753] 1 [3604757:145319153:2197]
25872bk (4 curves)	1	2- 3+ 7- 11+	2- 3+  2 7- 11+  2  2  0
Curve Equation t Generators 25872bk1 [0,-1,0,-5112,-137808] 2 [356:6560:1] 25872bk2 [0,-1,0,-9032,106800] 4 [-86:490:1] 25872bk3 [0,-1,0,34088,796720] 2 [2:930:1] 25872bk4 [0,-1,0,-114872,15009072] 2 [1426:52430:1]
25872bl (1 curve)	1	2- 3+ 7- 11+	2- 3+  2 7- 11+ -2 -3 -1
Curve Equation t Generators 25872bl1 [0,-1,0,1748,-19172] 1 [95019:594404:6859]
25872bm (4 curves)	1	2- 3+ 7- 11+	2- 3+  2 7- 11+ -2  6 -4
Curve Equation t Generators 25872bm1 [0,-1,0,2728,-34320] 2 [5668:60515:64] 25872bm2 [0,-1,0,-12952,-285200] 4 [-51:490:1] 25872bm3 [0,-1,0,-99192,11857392] 2 [-142:4802:1] 25872bm4 [0,-1,0,-177592,-28734992] 2 [4074:28435:8]
25872bn (1 curve)	1	2- 3+ 7- 11+	2- 3+ -2 7- 11+ -2  3  1
Curve Equation t Generators 25872bn1 [0,-1,0,-44,-132] 1 [37:218:1]
25872bo (4 curves)	1	2- 3+ 7- 11+	2- 3+ -2 7- 11+ -2 -6 -8
Curve Equation t Generators 25872bo1 [0,-1,0,-505304,-45569040] 2 [-9116:310219:64] 25872bo2 [0,-1,0,-4519384,3666652144] 4 [-51:62426:1] 25872bo3 [0,-1,0,-1132504,9031470064] 2 [22794:1360645:8] 25872bo4 [0,-1,0,-72131544,235819764720] 2 [-198:500094:1]
25872bp (2 curves)	1	2- 3+ 7- 11+	2- 3+ -2 7- 11+ -4 -6  2
Curve Equation t Generators 25872bp1 [0,-1,0,-50864,-4901952] 2 [341:4158:1] 25872bp2 [0,-1,0,-839344,-295693376] 2 [2389:106434:1]
25872bq (1 curve)	1	2- 3+ 7- 11+	2- 3+ -3 7- 11+  1 -4 -3
Curve Equation t Generators 25872bq1 [0,-1,0,-22682,-1438569] 1 [22745:81557:125]
25872br (2 curves)	0	2- 3+ 7- 11-	2- 3+  0 7- 11-  2  4  6
Curve Equation t 25872br1 [0,-1,0,3512,-548624] 2 25872br2 [0,-1,0,-82728,-8689680] 2
25872bs (1 curve)	0	2- 3+ 7- 11-	2- 3+  0 7- 11- -4  1 -3
Curve Equation t 25872bs1 [0,-1,0,-4328,307056] 1
25872bt (1 curve)	0	2- 3+ 7- 11-	2- 3+  0 7- 11- -4 -3  1
Curve Equation t 25872bt1 [0,-1,0,-20008,-1122512] 1
25872bu (2 curves)	0	2- 3+ 7- 11-	2- 3+  0 7- 11- -4  4  8
Curve Equation t 25872bu1 [0,-1,0,528792,121676976] 2 25872bu2 [0,-1,0,-2791448,1109780400] 2
25872bv (1 curve)	0	2- 3+ 7- 11-	2- 3+  0 7- 11-  5 -6  7
Curve Equation t 25872bv1 [0,-1,0,187,3501] 1
25872bw (1 curve)	0	2- 3+ 7- 11-	2- 3+  1 7- 11-  3 -2 -5
Curve Equation t 25872bw1 [0,-1,0,670,-2421] 1
25872bx (6 curves)	0	2- 3+ 7- 11-	2- 3+  2 7- 11- -6 -2  4
Curve Equation t 25872bx1 [0,-1,0,-26672,1684992] 2 25872bx2 [0,-1,0,-30592,1161280] 4 25872bx3 [0,-1,0,98768,8301952] 2 25872bx4 [0,-1,0,-222672,-39559680] 4 25872bx5 [0,-1,0,24288,-122735808] 4 25872bx6 [0,-1,0,-3542912,-2565598272] 2
25872by (4 curves)	0	2- 3+ 7- 11-	2- 3+ -2 7- 11-  6 -2  4
Curve Equation t 25872by1 [0,-1,0,-1584,960] 2 25872by2 [0,-1,0,-17264,-864576] 4 25872by3 [0,-1,0,-9424,-1661120] 2 25872by4 [0,-1,0,-275984,-55713216] 2
25872bz (2 curves)	0	2- 3+ 7- 11-	2- 3+ -2 7- 11- -6  4 -2
Curve Equation t 25872bz1 [0,-1,0,-3789,105624] 2 25872bz2 [0,-1,0,-63324,6154380] 2
25872ca (1 curve)	0	2- 3+ 7- 11-	2- 3+  3 7- 11- -1  4  3
Curve Equation t 25872ca1 [0,-1,0,1232726,-263606153] 1
25872cb (2 curves)	0	2- 3+ 7- 11-	2- 3+  4 7- 11-  6  4 -2
Curve Equation t 25872cb1 [0,-1,0,-317536,107669248] 2 25872cb2 [0,-1,0,-5836896,5428332288] 2
25872cc (1 curve)	0	2- 3+ 7- 11-	2- 3+ -4 7- 11-  0  7 -5
Curve Equation t 25872cc1 [0,-1,0,320,-2624] 1
25872cd (1 curve)	1	2- 3- 7+ 11+	2- 3-  2 7+ 11+  2 -3 -1
Curve Equation t Generators 25872cd1 [0,1,0,-2172,49608] 1 [-33:294:1]
25872ce (1 curve)	1	2- 3- 7+ 11+	2- 3- -2 7+ 11+  2  3  1
Curve Equation t Generators 25872ce1 [0,1,0,85636,6404712] 1 [139:4584:1]
25872cf (1 curve)	0	2- 3- 7+ 11-	2- 3-  0 7+ 11-  4 -1  3
Curve Equation t 25872cf1 [0,1,0,-212088,-104896044] 1
25872cg (1 curve)	0	2- 3- 7+ 11-	2- 3-  0 7+ 11-  4  3 -1
Curve Equation t 25872cg1 [0,1,0,-408,3156] 1
25872ch (1 curve)	0	2- 3- 7+ 11-	2- 3-  0 7+ 11- -5  6 -7
Curve Equation t 25872ch1 [0,1,0,9147,-1219149] 1
25872ci (1 curve)	0	2- 3- 7+ 11-	2- 3-  4 7+ 11-  0 -7  5
Curve Equation t 25872ci1 [0,1,0,15664,868692] 1
25872cj (2 curves)	0	2- 3- 7- 11+	2- 3-  0 7- 11+  4 -3 -1
Curve Equation t 25872cj1 [0,1,0,-968,-20364] 1 25872cj2 [0,1,0,-93368,-11012268] 1
25872ck (2 curves)	0	2- 3- 7- 11+	2- 3-  0 7- 11+ -4  4  0
Curve Equation t 25872ck1 [0,1,0,-72088,-7539820] 2 25872ck2 [0,1,0,-1156248,-478932588] 2
25872cl (1 curve)	0	2- 3- 7- 11+	2- 3-  1 7- 11+ -1 -4  3
Curve Equation t 25872cl1 [0,1,0,-83610,-9333549] 1
25872cm (1 curve)	0	2- 3- 7- 11+	2- 3- -1 7- 11+  7  0 -5
Curve Equation t 25872cm1 [0,1,0,-1486,-30997] 1
25872cn (2 curves)	0	2- 3- 7- 11+	2- 3-  2 7- 11+  4  6 -2
Curve Equation t 25872cn1 [0,1,0,-2492352,1686354228] 2 25872cn2 [0,1,0,-41127872,101505083700] 2
25872co (4 curves)	0	2- 3- 7- 11+	2- 3- -2 7- 11+  2  2  0
Curve Equation t 25872co1 [0,1,0,-76064,29501940] 2 25872co2 [0,1,0,-1973344,1063898996] 4 25872co3 [0,1,0,-2749504,148340660] 2 25872co4 [0,1,0,-31553664,68211225396] 4
25872cp (2 curves)	0	2- 3- 7- 11+	2- 3- -2 7- 11+  2 -4 -6
Curve Equation t 25872cp1 [0,1,0,131,-274] 2 25872cp2 [0,1,0,-604,-2920] 2
25872cq (1 curve)	0	2- 3- 7- 11+	2- 3-  3 7- 11+ -1  4  3
Curve Equation t 25872cq1 [0,1,0,-1111434,495652023] 1
25872cr (2 curves)	0	2- 3- 7- 11+	2- 3-  3 7- 11+  7  6 -1
Curve Equation t 25872cr1 [0,1,0,-844874,301817823] 1 25872cr2 [0,1,0,2938906,1544818659] 1
25872cs (4 curves)	0	2- 3- 7- 11+	2- 3-  4 7- 11+ -4  2  0
Curve Equation t 25872cs1 [0,1,0,-35296,1848692] 2 25872cs2 [0,1,0,90144,12134772] 2 25872cs3 [0,1,0,-7890976,-8534500108] 2 25872cs4 [0,1,0,-7883136,-8552296908] 2
25872ct (4 curves)	1	2- 3- 7- 11-	2- 3-  0 7- 11- -2  0  2
Curve Equation t Generators 25872ct1 [0,1,0,60352,3413556] 2 [100:-3234:1] 25872ct2 [0,1,0,-284608,29216564] 2 [-460:7938:1] 25872ct3 [0,1,0,-645248,-253594188] 2 [1066:16464:1] 25872ct4 [0,1,0,-11080288,-14198981644] 2 [-1916:882:1]
25872cu (1 curve)	1	2- 3- 7- 11-	2- 3-  0 7- 11- -3  2 -3
Curve Equation t Generators 25872cu1 [0,1,0,-93,-393] 1 [11:6:1]
25872cv (2 curves)	1	2- 3- 7- 11-	2- 3-  0 7- 11-  4 -4 -8
Curve Equation t Generators 25872cv1 [0,1,0,10792,-351660] 2 [52:594:1] 25872cv2 [0,1,0,-56968,-3251788] 2 [-124:1386:1]
25872cw (4 curves)	1	2- 3- 7- 11-	2- 3-  0 7- 11-  4  6 -4
Curve Equation t Generators 25872cw1 [0,1,0,-4328,101940] 2 [-68:294:1] 25872cw2 [0,1,0,3512,437492] 2 [38:-792:1] 25872cw3 [0,1,0,-63128,-6102636] 2 [438:7104:1] 25872cw4 [0,1,0,-31768,-12136300] 2 [422:7056:1]
25872cx (2 curves)	1	2- 3- 7- 11-	2- 3-  0 7- 11- -6 -4  6
Curve Equation t Generators 25872cx1 [0,1,0,-1313608,111046956404] 2 [6740:639078:1] 25872cx2 [0,1,0,-354552648,2532995110260] 2 [-1314:1731072:1]
25872cy (2 curves)	1	2- 3- 7- 11-	2- 3-  3 7- 11- -2 -3  2
Curve Equation t Generators 25872cy1 [0,1,0,-184,1364] 1 [-10:48:1] 25872cy2 [0,1,0,1496,-20812] 1 [46:384:1]
25872cz (1 curve)	1	2- 3- 7- 11-	2- 3-  3 7- 11- -3  2 -3
Curve Equation t Generators 25872cz1 [0,1,0,-1094,16239] 1 [-5:147:1]
25872da (2 curves)	1	2- 3- 7- 11-	2- 3- -3 7- 11-  1  0  5
Curve Equation t Generators 25872da1 [0,1,0,278,2519] 1 [23:147:1] 25872da2 [0,1,0,-2662,-94501] 1 [79:441:1]
25872db (1 curve)	1	2- 3- 7- 11-	2- 3- -3 7- 11- -6  5  6
Curve Equation t Generators 25872db1 [0,1,0,-77912,8651796] 1 [118:-1056:1]

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